Calculation of overlap integrals over Slater-type spinor orbitals of arbitrary half-integral spin using auxiliary functions

Guseinov I. I. , Aydin R., Bagci A.

PHILOSOPHICAL MAGAZINE, cilt.92, sa.18, ss.2375-2381, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 92 Konu: 18
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/14786435.2012.670284
  • Sayfa Sayıları: ss.2375-2381


Analytical relations are derived for two-center overlap integrals over the basis set of 2(2s + 1)-component Slater-type spinor orbitals, which can be used for the solution of generalized Dirac equation, introduced by one of the authors, in the linear combination of atomic orbitals approach, where s = 1/2, 3/2, 5/2,.... These relativistic integrals are reduced to the linear combinations of two-center non-relativistic overlap integrals of scalar Slater-type orbitals. The calculations for non-relativistic overlap integrals are performed with the arbitrary values of quantum numbers, screening constants and the location of orbitals. To obtain more accurate results from the calculations, the well-known auxiliary functions A(n) and B-n are used. It is observed that the computer program carrying out these extended calculations, indeed, works without any restrictions and in all ranges of orbital parameters.